GCD of 900, 381, 843, 669 Calculator

Given Input numbers are 900, 381, 843, 669

In the factoring method, we have to find the divisors of all numbers

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 843 :

The positive integer divisors of 843 that completely divides 843 are.

1, 3, 281, 843

Divisors of 669 :

The positive integer divisors of 669 that completely divides 669 are.

1, 3, 223, 669

GCD of numbers is the greatest common divisor

So, the GCD (900, 381, 843, 669) = 3.

Given numbers are 900, 381, 843, 669

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 381 are 3 x 127

Prime factors of 843 are 3 x 281

Prime factors of 669 are 3 x 223

The highest common occurrence is 3¹

Therefore, GCD of 900, 381, 843, 669 is 3.

Given numbers are 900, 381, 843, 669

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(900, 381) = 114300

GCD(900, 381) = ( 900 x 381 ) / 114300

= 900 / 381

= 900

Step2:

LCM(3, 843) = 843

GCD(3, 843) = ( 3 x 843 ) / 843

= 3 / 843

= 3

Step3:

LCM(3, 669) = 669

GCD(3, 669) = ( 3 x 669 ) / 669

= 3 / 669

= 3

So, Greatest Common Divisor of 900, 381, 843, 669 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 975, 642, 923, 990
• GCD of 286, 309, 115, 494
• GCD of 781, 884, 504, 589
• GCD of 935, 347, 231, 699
• GCD of 409, 570, 566, 102

Given numbers are 900, 381, 843, 669
The greatest common divisor of numbers 900, 381, 843, 669 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 381, 843, 669 is 3.

1. What is the GCD of 900, 381, 843, 669?

GCD of given numbers 900, 381, 843, 669 is 3

2. How to calculate the greatest common divisor of 900, 381, 843, 669?

We can find the highest common divisor of 900, 381, 843, 669 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 900, 381, 843, 669 i.e 3.

3. How can I use the GCD of 900, 381, 843, 669Calculator?

Out the numbers 900, 381, 843, 669 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.